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Finding the Third Proportional to 42,277.50 and 63,585

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Solution

The third proportional to 42,277.50 and 63,585 is: 95,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,277.50 : 63,585 = 63,585 : x
  2. Step 2: Convert to fraction form
    42,277.50/63,585 = 63,585/x
  3. Step 3: Cross multiply
    42,277.50x = 63,585 × 63,585
  4. Step 4: Simplify right side
    42,277.50x = 4,043,052,225
  5. Step 5: Solve for x
    x = 4,043,052,225/42,277.50
  6. Step 6: Final answer
    x = 95,631.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.